GCD of 974, 150, 842 Calculator

Given Input numbers are 974, 150, 842

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 974, 150, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 150, 842 is 2.

Therefore, GCD of numbers 974, 150, 842 is 2

Given Input Data is 974, 150, 842

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 974 is 2 x 487

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 842 is 2 x 421

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(974, 150) = 73050

GCD(974, 150) = ( 974 x 150 ) / 73050

GCD(974, 150) = 146100 / 73050

GCD(974, 150) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

GCD of 974, 150, 842 is 2

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1. What is the GCD of 974, 150, 842?

GCD of 974, 150, 842 is 2

2. Where do I get the detailed procedure to find GCD of 974, 150, 842?

You can find a detailed procedure to find GCD of 974, 150, 842 on our page.

3. How to find GCD of 974, 150, 842 on a calculator?

You can find the GCD of 974, 150, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.